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Finding the Fourth Proportional to 321.40, 443.14 and 210.72

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Solution

The fourth proportional to 321.40, 443.14 and 210.72 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.40 : 443.14 = 210.72 : x
  2. Step 2: Convert to fraction form
    321.40/443.14 = 210.72/x
  3. Step 3: Cross multiply
    321.40x = 443.14 × 210.72
  4. Step 4: Simplify right side
    321.40x = 93,378.46
  5. Step 5: Solve for x
    x = 93,378.46/321.40
  6. Step 6: Final answer
    x = 290.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.